Fully nonlinear elliptic equations with gradient terms on compact almost Hermitian manifolds
Mathematische Zeitschrift(2023)
摘要
We establish second order estimates for a general class of fully nonlinear elliptic equations with gradient terms on almost Hermitian manifolds including the deformed Hermitian-Yang-Mills equation and the equation in the proof of Gauduchon conjecture by Székelyhidi-Tosatti-Weinkove. As applications, we also consider the existence of Monge-Ampère equation and Hessian equations.
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关键词
Fully nonlinear elliptic equations,Almost Hermitian manifolds,Monge-Ampère equation,Deformed Hermitian-Yang-Mills equation
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